1556406090 has 160 divisors (see below), whose sum is σ = 4597845120. Its totient is φ = 376016256.

The previous prime is 1556406079. The next prime is 1556406121. The reversal of 1556406090 is 906046551.

1556406090 is a `hidden beast` number, since 1 + 5 + 5 + 6 + 40 + 609 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351772 + ... + 356168.

It is an arithmetic number, because the mean of its divisors is an integer number (28736532).

Almost surely, 2^1556406090 is an apocalyptic number.

1556406090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1556406090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298922560).

1556406090 is an abundant number, since it is smaller than the sum of its proper divisors (3041439030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1556406090 is a wasteful number, since it uses less digits than its factorization.

1556406090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1556406090 is about 39451.3129059097. The cubic root of 1556406090 is about 1158.8866869894.

The spelling of 1556406090 in words is "one billion, five hundred fifty-six million, four hundred six thousand, ninety".